sin5x等于什么 sin5x与5sinx什么关系?
sin2x\u7b49\u4e8e\u591a\u5c11 sin5x\u7b49\u4e8e\u591a\u5c11sin2x=2sinxcosx
sin5x=sin(x+4x)
=sinxcos4x+cosxsin4x
=sinx[1-2(sin2x)^2]+2cosxsin2xcos2x
=sinx[1-4(sinx)^2*(cosx)^2]+4sinx(cosx)^2[1-2(sinx)^2]
\u65e0\u6cd5\u786e\u5b9a\u662f\u5426\u6b63\u786e,\u4ec5\u4f9b\u53c2\u8003
\u6bd4\u65b9\u8bf4X=30\u00b0
\u90a3\u4e48sin5X=sin150\u00b0
5sinX=5\u4e58\u4ee5sin30\u00b0\u3002
\u8fd9\u4e24\u9879\u662f\u4e0d\u76f8\u7b49\u7684\u3002
sin5x
=sin(x+4x)
=sinxcos4x+cosxsin4x
=sinx[1-2(sin2x)^2]+2cosxsin2xcos2x
=sinx[1-4(sinx)^2*(cosx)^2]+4sinx(cosx)^2[1-2(sinx)^2]
y=sin5x,值域是[-1,1](-1到1的闭区间)。其图像相当于把y=sinx的图像横向拉长5倍,但其值域不变。
sin5x
=sin(x+4x)
=sinxcos4x+cosxsin4x
=sinx[1-2(sin2x)^2]+2cosxsin2xcos2x
=sinx[1-4(sinx)^2*(cosx)^2]+4sinx(cosx)^2[1-2(sinx)^2]
sin5x=16(sinx)^5-20(sinx)^3+5sinx
绛旓細褰搙瓒嬩簬0^锛-锛夋椂锛sin5x绛変环浜庯紙-5x锛
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绛旓細y=sinu u=5x
绛旓細鍘熷嚱鏁鏄 -1/5cos5x
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